TSTP Solution File: PUZ062-2 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : PUZ062-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:11:29 EDT 2022

% Result   : Unknown 2.53s 2.76s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : PUZ062-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : otter-tptp-script %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Jul 27 01:47:50 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.83/1.99  ----- Otter 3.3f, August 2004 -----
% 1.83/1.99  The process was started by sandbox on n005.cluster.edu,
% 1.83/1.99  Wed Jul 27 01:47:50 2022
% 1.83/1.99  The command was "./otter".  The process ID is 13613.
% 1.83/1.99  
% 1.83/1.99  set(prolog_style_variables).
% 1.83/1.99  set(auto).
% 1.83/1.99     dependent: set(auto1).
% 1.83/1.99     dependent: set(process_input).
% 1.83/1.99     dependent: clear(print_kept).
% 1.83/1.99     dependent: clear(print_new_demod).
% 1.83/1.99     dependent: clear(print_back_demod).
% 1.83/1.99     dependent: clear(print_back_sub).
% 1.83/1.99     dependent: set(control_memory).
% 1.83/1.99     dependent: assign(max_mem, 12000).
% 1.83/1.99     dependent: assign(pick_given_ratio, 4).
% 1.83/1.99     dependent: assign(stats_level, 1).
% 1.83/1.99     dependent: assign(max_seconds, 10800).
% 1.83/1.99  clear(print_given).
% 1.83/1.99  
% 1.83/1.99  list(usable).
% 1.83/1.99  0 [] A=A.
% 1.83/1.99  0 [] -c_in(V_A,c_Finite__Set_OFinites,tc_set(T_a))|c_in(V_x,V_A,T_a)|c_Finite__Set_Ocard(c_insert(V_x,V_A,T_a),T_a)=c_Suc(c_Finite__Set_Ocard(V_A,T_a)).
% 1.83/1.99  0 [] -c_in(V_G,c_Finite__Set_OFinites,tc_set(T_a))|c_in(c_inter(V_F,V_G,T_a),c_Finite__Set_OFinites,tc_set(T_a)).
% 1.83/1.99  0 [] -c_in(V_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat)))|c_in(V_t,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))).
% 1.83/1.99  0 [] -c_in(V_c,c_inter(V_A,V_B,T_a),T_a)|c_in(V_c,V_B,T_a).
% 1.83/1.99  0 [] -c_in(V_c,V_B,T_a)| -c_in(V_c,V_A,T_a)|c_in(V_c,c_inter(V_A,V_B,T_a),T_a).
% 1.83/1.99  0 [] c_in(V_x,c_insert(V_x,V_A,T_a),T_a).
% 1.83/1.99  0 [] -c_in(V_c,c_emptyset,T_a).
% 1.83/1.99  0 [] c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))).
% 1.83/1.99  0 [] c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))=c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)).
% 1.83/1.99  0 [] c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat))=c_emptyset.
% 1.83/1.99  0 [] c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 1.83/1.99  0 [] c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 1.83/1.99  0 [] c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))!=c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)).
% 1.83/1.99  end_of_list.
% 1.83/1.99  
% 1.83/1.99  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=3.
% 1.83/1.99  
% 1.83/1.99  This ia a non-Horn set with equality.  The strategy will be
% 1.83/1.99  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.83/1.99  deletion, with positive clauses in sos and nonpositive
% 1.83/1.99  clauses in usable.
% 1.83/1.99  
% 1.83/1.99     dependent: set(knuth_bendix).
% 1.83/1.99     dependent: set(anl_eq).
% 1.83/1.99     dependent: set(para_from).
% 1.83/1.99     dependent: set(para_into).
% 1.83/1.99     dependent: clear(para_from_right).
% 1.83/1.99     dependent: clear(para_into_right).
% 1.83/1.99     dependent: set(para_from_vars).
% 1.83/1.99     dependent: set(eq_units_both_ways).
% 1.83/1.99     dependent: set(dynamic_demod_all).
% 1.83/1.99     dependent: set(dynamic_demod).
% 1.83/1.99     dependent: set(order_eq).
% 1.83/1.99     dependent: set(back_demod).
% 1.83/1.99     dependent: set(lrpo).
% 1.83/1.99     dependent: set(hyper_res).
% 1.83/1.99     dependent: set(unit_deletion).
% 1.83/1.99     dependent: set(factor).
% 1.83/1.99  
% 1.83/1.99  ------------> process usable:
% 1.83/1.99  ** KEPT (pick-wt=20): 1 [] -c_in(A,c_Finite__Set_OFinites,tc_set(B))|c_in(C,A,B)|c_Finite__Set_Ocard(c_insert(C,A,B),B)=c_Suc(c_Finite__Set_Ocard(A,B)).
% 1.83/1.99  ** KEPT (pick-wt=13): 2 [] -c_in(A,c_Finite__Set_OFinites,tc_set(B))|c_in(c_inter(C,A,B),c_Finite__Set_OFinites,tc_set(B)).
% 1.83/1.99  ** KEPT (pick-wt=18): 3 [] -c_in(A,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat)))|c_in(A,c_Finite__Set_OFinites,tc_set(tc_prod(tc_nat,tc_nat))).
% 1.83/1.99  ** KEPT (pick-wt=11): 4 [] -c_in(A,c_inter(B,C,D),D)|c_in(A,C,D).
% 1.83/1.99  ** KEPT (pick-wt=15): 5 [] -c_in(A,B,C)| -c_in(A,D,C)|c_in(A,c_inter(D,B,C),C).
% 1.83/1.99  ** KEPT (pick-wt=4): 6 [] -c_in(A,c_emptyset,B).
% 1.83/1.99  ** KEPT (pick-wt=42): 8 [copy,7,flip.1] c_Finite__Set_Ocard(c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))!=c_Finite__Set_Ocard(c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  
% 2.53/2.76  ------------> process sos:
% 2.53/2.76  ** KEPT (pick-wt=3): 10 [] A=A.
% 2.53/2.76  ** KEPT (pick-wt=7): 11 [] c_in(A,c_insert(A,B,C),C).
% 2.53/2.76  ** KEPT (pick-wt=11): 12 [] c_in(v_t,c_Mutil_Otiling(c_Mutil_Odomino,tc_prod(tc_nat,tc_nat)),tc_set(tc_prod(tc_nat,tc_nat))).
% 2.53/2.76  ** KEPT (pick-wt=24): 14 [copy,13,flip.1] c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))=c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  ---> New Demodulator: 15 [new_demod,14] c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat))=c_Finite__Set_Ocard(c_inter(c_Mutil_Ocoloured(c_0),v_t,tc_prod(tc_nat,tc_nat)),tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  ** KEPT (pick-wt=8): 16 [] c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat))=c_emptyset.
% 2.53/2.76  ---> New Demodulator: 17 [new_demod,16] c_inter(v_a,v_t,tc_prod(tc_nat,tc_nat))=c_emptyset.
% 2.53/2.76  ** KEPT (pick-wt=18): 18 [] c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  ---> New Demodulator: 19 [new_demod,18] c_inter(c_Mutil_Ocoloured(c_0),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_i,v_j,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  ** KEPT (pick-wt=19): 20 [] c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 2.53/2.76  ---> New Demodulator: 21 [new_demod,20] c_inter(c_Mutil_Ocoloured(c_Suc(c_0)),v_a,tc_prod(tc_nat,tc_nat))=c_insert(c_Pair(v_m,v_n,tc_nat,tc_nat),c_emptyset,tc_prod(tc_nat,tc_nat)).
% 2.53/2.76    Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] A=A.
% 2.53/2.76  >>>> Starting back demodulation with 15.
% 2.53/2.76  >>>> Starting back demodulation with 17.
% 2.53/2.76  >>>> Starting back demodulation with 19.
% 2.53/2.76  >>>> Starting back demodulation with 21.
% 2.53/2.76  
% 2.53/2.76  ======= end of input processing =======
% 2.53/2.76  
% 2.53/2.76  =========== start of search ===========
% 2.53/2.76  
% 2.53/2.76  
% 2.53/2.76  Resetting weight limit to 25.
% 2.53/2.76  
% 2.53/2.76  
% 2.53/2.76  Resetting weight limit to 25.
% 2.53/2.76  
% 2.53/2.76  sos_size=446
% 2.53/2.76  
% 2.53/2.76  Search stopped because sos empty.
% 2.53/2.76  
% 2.53/2.76  
% 2.53/2.76  Search stopped because sos empty.
% 2.53/2.76  
% 2.53/2.76  ============ end of search ============
% 2.53/2.76  
% 2.53/2.76  -------------- statistics -------------
% 2.53/2.76  clauses given                501
% 2.53/2.76  clauses generated          87811
% 2.53/2.76  clauses kept                 521
% 2.53/2.76  clauses forward subsumed     498
% 2.53/2.76  clauses back subsumed         12
% 2.53/2.76  Kbytes malloced             5859
% 2.53/2.76  
% 2.53/2.76  ----------- times (seconds) -----------
% 2.53/2.76  user CPU time          0.76          (0 hr, 0 min, 0 sec)
% 2.53/2.76  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 2.53/2.76  wall-clock time        3             (0 hr, 0 min, 3 sec)
% 2.53/2.76  
% 2.53/2.76  Process 13613 finished Wed Jul 27 01:47:53 2022
% 2.53/2.76  Otter interrupted
% 2.53/2.76  PROOF NOT FOUND
%------------------------------------------------------------------------------